Maths Olympiad Prep

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, 2024

Algebra Difficulty 1.6 Junior Find the answer Canada

The first two hours of Melanie’s trip was spent travelling at
100 km/h100 \text{ km/h}. The remaining
200 km200 \text{ km} of Melanie’s trip
was spent travelling at $80 \text{}
km/h}$. Melanie’s average speed during this trip is closest
to

Pick one

Solution

Since each unshaded section is 33 times the size of each shaded section,
then together the size of 33 shaded
sections is equal to the size of 11
unshaded section.

Thus, the combined size of all sections is equal to 12+1=1312+1=13 unshaded sections.

We can now imagine the spinner as having 1313 equal sized sections of which 11 is shaded.

The probability that the arrow stops in a shaded section is equal to the
fraction of the spinner’s area comprised of shaded sections, which is
113\frac{1}{13}.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.